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64414224 = 24337217179
BaseRepresentation
bin1111010110111…
…0001000010000
311111012120201000
43311232020100
5112442223344
610220342000
71411340400
oct365561020
9144176630
1064414224
11333a63a6
12196a4900
1310464234
1487aa800
1559c5a69
hex3d6e210

64414224 has 240 divisors, whose sum is σ = 229003200. Its totient is φ = 17224704.

The previous prime is 64414213. The next prime is 64414247. The reversal of 64414224 is 42241446.

It is a happy number.

64414224 is a `hidden beast` number, since 644 + 14 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359767 + ... + 359945.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 264414224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

64414224 is an abundant number, since it is smaller than the sum of its proper divisors (164588976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64414224 is a wasteful number, since it uses less digits than its factorization.

64414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 64414224 is about 8025.8472449954. The cubic root of 64414224 is about 400.8611115536.

The spelling of 64414224 in words is "sixty-four million, four hundred fourteen thousand, two hundred twenty-four".